Graph-based inference of confidential data insights

ABSTRACT

In an example, a weighted directed graph data structure is constructed from position information and position transition information, the weighted directed graph data structure comprising a plurality of nodes, with each node corresponding to a position in the position information, and a plurality of directed edges between the plurality of nodes, with each directed edge corresponding to a transition occurring from a position corresponding to a node at a beginning of the directed edge to a position corresponding to a node at an end of the directed edge. A value is assigned to each node based on one or more confidential data values associated with a position corresponding to the node. A weight is assigned to each directed edge based on a number of members that transitioned positions on either side of the edge. The values in each node are then updated repeatedly based on neighbor node values until convergence occurs.

TECHNICAL FIELD

The present disclosure generally relates to computer technology for solving technical challenges in providing statistical insights based on confidential data submitted in a computer system. More specifically, the present disclosure relates to graph-based insights.

BACKGROUND

In various types of computer systems, there may be a need to collect, maintain, and utilize confidential data. In some instances, users may be reluctant to share this confidential information over privacy concerns. These concerns extend not only to pure security concerns, such as concerns over whether third parties such as hackers may gain access to the confidential data, but also to how the computer system itself may utilize the confidential data. With certain types of data, users providing the data may be somewhat comfortable with uses of the data that maintain anonymity, such as the confidential data merely being used to provide broad statistical analysis to other users.

One example of such confidential data is salary/compensation information. It may be desirable for a service such as a social networking service to entice its members to provide information about their salary or other work-related compensation in order to provide members with insights into various metrics regarding salary/compensation, such as an average salary for a particular job type in a particular city. There are technical challenges encountered, however, in providing various metrics to members. One such issue is that it can be difficult to provide reliable statistic insights based on sparse or limited confidential data submissions.

BRIEF DESCRIPTION OF THE DRAWINGS

Some embodiments of the technology are illustrated, by way of example and not limitation, in the figures of the accompanying drawings.

FIG. 1 is a block diagram illustrating a confidential data collection, tracking, and usage system, in accordance with an example embodiment.

FIGS. 2A-2C are screen captures illustrating an example of a user interface provided by a confidential data frontend, in accordance with an example embodiment.

FIG. 3 is a flow diagram illustrating a method for confidential data collection and storage, in accordance with an example embodiment.

FIG. 4 is a diagram illustrating an example of a submission table, in accordance with an example embodiment.

FIG. 5 is a flow diagram illustrating a method for confidential data collection and storage, in accordance with an example embodiment.

FIGS. 6A-6C are screen captures illustrating a user interface for displaying insights to a first user from confidential data submitted by other users, in accordance with an example embodiment.

FIG. 7 is a flow diagram illustrating a method for graph-based inference of confidential data insights, in accordance with an example embodiment.

FIG. 8 is an example directed weighted position transition graph, in accordance with an example embodiment.

FIG. 9 is the example directed weighted position graph, at a second state in accordance with an example embodiment.

FIG. 10 is the example directed weighted position graph, at a third state in accordance with an example embodiment.

FIG. 11 is a block diagram illustrating a representative software architecture, which may be used in conjunction with various hardware architectures herein described.

FIG. 12 is a block diagram illustrating components of a machine, according to some example embodiments, able to read instructions from a machine-readable medium (e.g., a machine-readable storage medium) and perform any one or more of the methodologies discussed herein.

DETAILED DESCRIPTION

The present disclosure describes, among other things, methods, systems, and computer program products. In the following description, for purposes of explanation, numerous specific details are set forth in order to provide a thorough understanding of the various aspects of different embodiments of the present disclosure. It will be evident, however, to one skilled in the art, that the present disclosure may be practiced without all of the specific details.

In an example embodiment, an architecture is provided that gathers confidential information from users, tracks the submission of the confidential information, and maintains and utilizes the confidential information in a secure manner while ensuring that the confidential information is accurate and reliable.

FIG. 1 is a block diagram illustrating a confidential data collection, tracking, and usage system 100, in accordance with an example embodiment. A client device 102 may utilize a confidential data frontend 104 to submit confidential information to a confidential data backend 106. In some example embodiments, the confidential data backend 106 is located on a server-side or cloud platform 107 while the confidential data frontend 104 is directly connected to or embedded in the client device 102. However, in some example embodiments, the confidential data frontend 104 is also located on the server-side or cloud platform 107.

There may be various different potential implementations of the confidential data frontend 104, depending upon the type and configuration of the client device 102. In an example embodiment, the confidential data frontend 104 may be a web page that is served to a web browser operating on the client device 102. The web page may include various scripts, such as JavaScript code, in addition to Hypertext Markup Language (HTML) and Cascading Style Sheets (CSS) code designed to perform various tasks that will be described in more detail below. The web page may be served in response to the user selecting a link in a previous communication or web page. For example, the link may be displayed in an email communication to the user or as part of a feed section of the user's social networking service member page. This allows the entity operating the confidential data collection, tracking, and usage system 100 to selectively target users to request that they submit confidential information. For example, the entity may determine that there is a need to obtain more salary information for users from Kansas and then may send out communications to, or cause the social networking service to alter feeds of, users in a manner that allows the users to select the link to launch the confidential data frontend 104.

In another example embodiment, the confidential data frontend 104 may be built into an application installed on the client device 102, such as a standalone application running on a smartphone. Again this confidential data frontend 104 is designed to perform various tasks that will be described in more detail below.

One task that the confidential data frontend 104 may be designed to perform is the gathering of confidential data from a user of the client device 102. Another task that the confidential data frontend 104 may be designed to perform is to display insights from confidential data contributed by other users. In order to incentivize users to provide certain types of confidential data, in an example embodiment, insights from the confidential data contributed by other users are provided in response to the user contributing his or her own confidential data. As will be described in more detail, a mechanism to ensure that the contribution of confidential data is tracked is provided.

Once the confidential data is received from the user, the confidential data frontend 104 may transmit the confidential data along with an identification of the user (such as a member identification reflecting the user's account with a social networking service) to the confidential data backend 106. In an example embodiment, this may be performed via, for example, a REST Application Program Interface (API).

The confidential data, along with the identification of the user, may be stored in a submission table by the confidential data backend 106 in a confidential information database 108. In some example embodiments, this submission table may be encrypted in order to ensure security of the information in the submission table. Furthermore, in some example embodiments, the confidential data stored in the submission table may be encrypted using a different key than the identifying information in the submission table. This encryption will be described in more detail below.

In another example embodiment, a random transaction number is generated for each confidential data submission. This random transaction number is stored with the identifying information in one table, and then stored with the confidential data in another table, with each table encrypted separately using a different key. In either this example embodiment or the previous example embodiment, encrypting the identifying information separately from the confidential data (either in one table or in separate tables) provides added security against the possibility that a malicious user could gain access to one or the other. In other words, even if a malicious user gained access to the identifying information by, for example, hacking the encryption used to encrypt the identifying information, that would not allow the malicious user to gain access to the confidential data corresponding to the identifying information, and vice versa. In an example embodiment, the encryption mechanism used is one that is non-deterministic, such that the same information encrypted twice would produce different results in each encryption. In another example embodiment, the transaction number itself is also encrypted, thereby preventing even the act of joining separate tables containing the identifying information and the confidential data.

In an example embodiment, a submission table may also be able to track when submissions were made by users. As such, the submission table may include additional columns such as, for example, a submission identification, an identification of the user who made the submission, an encryption key for the submission, and timestamp information about when the submission was made. The submission table may then be utilized by the confidential data backend 106 to determine, for example, when to share insights from submissions from other users to a particular user. If, for example, the user has previously submitted confidential data and has done so recently (e.g., within the last year), then the confidential data backend 106 may indicate to the confidential data frontend 104 that it should share insights from confidential data from other users with this particular user.

There may be other methods than those described above for determining eligibility of a user for receiving insights from submissions from other users. For example, a predicate expressed in terms of one or more attributes may need to be satisfied in order to receive the insights, such as particular demographic or profile-based attributes. These attributes can include any such attribute, from location, to title, to level of skill, to social networking service activities or status (e.g., about to transition from being an active member to an inactive member), to transactional attributes (e.g., purchased a premium subscription).

Additionally, any combination of the above factors can be used to determine whether the user is eligible for receiving insights from submissions from other users.

Furthermore, the submission table may also include one or more attributes of the user that made the submission. These attributes may be attributes that can be useful in determining a slice to which the user belongs. Slices will be described in more detail below, but generally involve a segment of users sharing common attributes, such as titles, locations, educational levels, and the like. It should be noted that it is not necessary for these attributes to be stored in the submission table. Since an identification of the user is available in the submission table, it may be possible to retrieve the attributes for the user on an as-needed basis, such as by querying a social networking service with the user identification when needed.

A databus listener 110 detects when new confidential data is added to the confidential information database 108 and triggers a workflow to handle the new confidential data. First, the databus listener 110 queries a thresholds data store 116 to determine if one or more thresholds for anonymization have been met. Specifically, until a certain number of data points for confidential data have been met, the confidential data collection, tracking, and usage system 100 will not act upon any particular confidential data point. As will be described in more detail later, these thresholds may be created on a per-slice basis. Each slice may define a segment of users about which insights may be gathered based on data points from confidential data submitted by users in the slice. For example, one slice may be users with the title “software engineer” located in the “San Francisco Bay Area.” If, for example, the confidential data is compensation information, then it may be determined that in order to gain useful insights into the compensation information for a particular title in a particular region, at least ten data points (e.g., compensation information of ten different users) are needed. In this case, the threshold for “software engineer” located in “San Francisco Bay Area” may be set at ten. The databus listener 110, therefore, is designed to retrieve the confidential data added to the confidential information database 108, retrieve the threshold for the slice corresponding to attributes of the user (as stored, for example, in the submission table in the confidential information database 108 or retrieved at runtime from a social networking service), determine if the new data point(s) cause the threshold for the corresponding slice to be exceeded, and, if so, or if the threshold has already been exceeded, insert the data in a backend queue 112 for extract, transform, and load (ETL) functions.

In an example embodiment, the thresholds data store 116 contains not just the thresholds themselves but also a running count of how many data points have been received for each slice. In other words, the thresholds data store 116 indicates how close the slice is to having enough data points with which to provide insights. The databus listener 110 may reference these counts when making its determination that a newly submitted data point causes a threshold to be exceeded. Running counts of data points received for each slice are updated in the thresholds data store 116 by the confidential data backend 106.

Since the databus listener 110 only transfers data points for a particular slice to the backend queue 112 once the threshold for that slice has been exceeded, the confidential data points corresponding to that slice may need to be retrieved from the confidential information database 108 once the threshold is determined to be exceeded. For example, if, as above, the threshold for a particular slice is ten data points, the first nine data points received for that slice may simply be left in the confidential information database 108 and not sent to the backend queue 112. Then, when the tenth data point for the slice is stored in the confidential information database 108, the databus listener 110 may determine that the threshold has been exceeded and retrieve all ten data points for the slice from the confidential information database 108 and send them to the backend queue 112 for processing.

It should be noted that the information obtained by the databus listener 110 from the confidential information database 108 and placed in the backend queue 112 is anonymized. In an example embodiment, no identification of the users who submitted the confidential data is provided to the backend queue 112. Indeed, in some example embodiments, the information provided to the backend queue 112 may simply be the confidential data itself and any information needed in order to properly group the confidential data in one or more slices. For example, if slices are designed to group user confidential data based only on user title, location, and years of experience, other attributes for the user that might have been stored in the confidential information database 108, such as schools attended, may not be transferred to the backend queue 112 when the confidential data tied to those attributes is transferred to the backend queue 112. This further helps to anonymize the data, as it makes it more difficult for people to be able to deduce the identity of a user based on his or her attributes.

It should also be noted that any one piece of confidential data may correspond to multiple different slices, and thus the databus listener 110 may, in some example embodiments, provide the same confidential data to the backend queue 112 multiple times. This can occur at different times as well, because each of the slices may have its own threshold that may be transgressed at different times based on different counts. Thus, for example, compensation data for a user in the “San Francisco Bay Area” with a job title of “software developer” and a school attended as “Stanford University” may be appropriately assigned to one slice of software developers in the San Francisco Bay Area, a slice of Stanford University alums, and a slice of software developers in the United States. All slices may have their own thresholds and counts from confidential data from other users, who may or may not have complete overlap with these three slices.

An ETL backend 114 acts to extract, transform, and load the confidential data to anonymize and group it and place it back in the confidential information database 108 in a different location from where it was stored in non-anonymized form. It should be noted that in some example embodiments, the anonymization described above with respect to the databus listener 110 may actually be performed by the ETL backend 114. For example, the databus listener 110 may send non-anonymized confidential data along with all attributes to the backend queue 112, and it may be the ETL backend 114 that reviews this data and discards certain elements of it to anonymize it.

In an example embodiment, the confidential information is stored in encrypted format in the confidential information database 108 when the databus listener 110 sends it to the backend queue 112. As such, one function of the ETL backend 114 is to decrypt the confidential information. Encryption and decryption of the confidential data will be discussed in more detail below.

The ETL backend 114 writes the anonymized confidential data and slice information into an ETL table corresponding to the slice in the confidential information database 108. As described earlier, this ETL table may be stored in a different location than that in which the confidential data was stored initially, such as the submission table described earlier.

At a later time, and perhaps using a batch or other periodic process, the information from the ETL table may be loaded in a distributed file system (DFS) 118. A confidential data relevance workflow 120 may then extract relevant information from the DFS 118 and provide one or more insights into the relevant information in a confidential data insights data store 122. A confidential data relevance API 124 may then be utilized to provide insights from the confidential data insights data store 122 to the confidential data frontend 104, which can then display them to a user. As described earlier, these insights may be provided only on a “give-to-get” basis, namely that only users who provide confidential information (and/or have provided it recently) can view insights.

Turning now to more detail about the submission process, FIGS. 2A-2C are screen captures illustrating an example of a user interface 200 provided by the confidential data frontend 104, in accordance with an example embodiment. Referring first to FIG. 2A, the user interface 200 here is depicted as a screen of a standalone application operating on a mobile device, such as a smartphone. In FIG. 2A, the user is prompted to enter a base salary in a text box 202, with a drop-down menu providing options for different time periods on which to measure the base salary (e.g., per year, per month, per hour, etc.). Additionally, the user may be identified by name at 204, the user's title may be identified at 206, and the user's current employer may be identified at 208. This information may be prepopulated into the user interface 200, such as by retrieving this information from a member profile for the user in a social networking service. This eliminates the need for the user to enter this information manually, which can have the effect of dissuading some users from providing the confidential information or completing the submission process, especially on a mobile device where typing or otherwise entering information may be cumbersome.

Turning to FIG. 2B, here the user interface 200 displays a number of other possible compensation types 210-220 from which the user can select. Selecting one of these other possible compensation types 210-220 causes the user interface 200 to provide an additional screen where the user can submit confidential data regarding the selected compensation type 210-220. Here, for example, the user has selected “Stock” 212. Referring now to FIG. 2C, the user interface 200 then switches to this screen, which allows the user to provide various specific details about stock compensation, such as restricted stock unit (RSU) compensation 222 and options 224. The user interface 200 at this stage may also display the other compensation types 210-220 that the user can make additional submissions for.

Referring back to FIG. 2B, when the user has completed entering all the confidential data, such as all the different compensation types appropriate for his or her current job, a “Get insights” button 226 may be selected, which launches a process by which the confidential data backend 106 determines whether the user is eligible to receive insights from confidential data from other users and, if so, indicates to the confidential data backend 106 that the insights should be provided. Additionally, selection of the “Get insights” button 226 represents an indication that the submission of the confidential data by this user has been completed, causing the confidential data backend 106 to store the confidential data in the confidential information database 108 as described below, which then may trigger the databus listener 110 to extract the confidential information and cause the ETL backend 114 to anonymize the confidential data and place it in the appropriate ETL tables corresponding to the appropriate slices in which the confidential data belongs. This permits the submitted confidential data to be available for future insights.

FIG. 3 is a flow diagram illustrating a method 300 for confidential data collection and storage, in accordance with an example embodiment. In an example embodiment, the method 300 may be performed by the confidential data backend 106 of FIG. 1. At operation 302, confidential data is obtained. At operation 304, an identification of the user who submitted the confidential data is obtained. It should be noted that while operations 302 and 304 are listed separately, in some example embodiments they may be performed in the same operation. For example, in an example embodiment, the confidential data frontend 104 may, upon receiving an indication from a user that input of confidential data in the confidential data frontend 104 by the user has been completed, forward the inputted confidential data and an identification of the user to the confidential data backend 106. In other example embodiments, however, the operations 302 and 304 may be performed separately. For example, in an example embodiment, the identification of the user may not be obtained directly from the confidential data frontend 104, but rather some other type of identifying information may be obtained directly from the confidential data frontend 104, and this other type of identifying information may be used to query a social networking service or other third-party service for the identification information for the user. Regardless, after operations 302 and 304 have been performed, the confidential data backend 106 has at its disposal some confidential data and identification information for the user who entered the confidential data.

It should be noted that the confidential data may be a single piece of information, or may be multiple related pieces of information. For example, the confidential data may simply include a total compensation value and nothing more, or may include a complete breakdown of different types of compensation (e.g., base salary, bonus, stock, etc.).

Users are understandably concerned about the security of the confidential information, and specifically about a malicious user being able to correlate the confidential information and the identification of the user (i.e., not just learning the confidential information but also tying the confidential information specifically to the user). As such, at operation 306, the confidential data is encrypted using a first key and stored in a first column of a submission table in a confidential information database. Then, at operation 308, the identification of the user who submitted the confidential data is separately encrypted using a second key and stored in a second column of the submission table in the confidential information database.

Additionally, a number of optional pieces of information may, in some example embodiments, be stored in the submission table at this point. At operation 310, a timestamp of the submission of the confidential data may be stored in a column in the submission table. This timestamp may be used in, for example, a determination of whether the user is eligible to receive insights from confidential data submitted by other users. At operation 312, one or more attributes of the user may be stored as one or more columns in the submission table. These attributes may be used, for example, in determining to which slice(s) the confidential data may apply, as will be described in more detail below.

FIG. 4 is a diagram illustrating an example of a submission table 400, in accordance with an example embodiment. Each row in the submission table 400 corresponds to a different submission. Here, the submission table 400 includes five columns. In a first column 402, confidential data encrypted by a first key is stored. In a second column 404, identification of the user who submitted the corresponding confidential data, encrypted by a second key, is stored. In a third column 406, a timestamp for the submission is stored. In a fourth column 408, a first attribute of the user, here location, is stored. In a fifth column 410, a second attribute of the user, here title, is stored. Of course, there may be additional columns to store additional attributes or other pieces of information related to the submission.

Notably, FIG. 4 depicts an example embodiment where only the first and second columns 402, 404 are encrypted, using different encryption keys. In some example embodiments, the additional columns 406-410 may also be encrypted, either individually or together. In some example embodiments, one or more of these additional columns 406-410 may be encrypted using the same key as the first or second column 402, 404. Furthermore, in some example embodiments, the submission table 400 may be additionally encrypted as a whole, using a third encryption key different from the keys used to encrypt the first and second columns 402, 404.

It should be noted that while FIGS. 3 and 4 describe the confidential data as being stored in a single column in a submission table, in some example embodiments, this column is actually multiple columns, or multiple sub-columns, with each corresponding to a subset of the confidential data. For example, if the confidential data is compensation information, the confidential data may actually comprise multiple different pieces of compensation information, such as base salary, bonus, stock, tips, and the like. Each of these pieces of compensation information may, in some example embodiments, have its own column in the submission table. Nevertheless, the processes described herein with regard to the “column” in which the confidential data is stored apply equally to the embodiments where multiple columns are used (e.g., the individual pieces of compensation information are still encrypted separately from the user identification information).

FIG. 5 is a flow diagram illustrating a method 500 for confidential data collection and storage, in accordance with an example embodiment. In contrast with FIG. 3, FIG. 5 represents an example embodiment where the confidential data and the identification of the user who submitted the confidential data are stored in separate tables in order to provide additional security. At operation 502, confidential data is obtained. At operation 504, an identification of the user who submitted the confidential data is obtained. As in FIG. 3, while operations 502 and 504 are listed separately, in some example embodiments they may be performed in the same operation.

At operation 506, a transaction identification is generated. This transaction identification may be, for example, a randomly generated number or character sequence that uniquely identifies the submission. At operation 508, the transaction identification may be encrypted using a first key. At operation 510, the transaction information (either encrypted or not, depending upon whether operation 508 was utilized) is stored in a first column in a first submission table and in a first column in a second submission table in a confidential information database.

At operation 512, the confidential data is encrypted using a second key and stored in a second column of the first submission table in the confidential information database. Then, at operation 514, the identification of the user who submitted the confidential data is separately encrypted using a third key and stored in a second column of the second submission table in the confidential information database.

Additionally, as in FIG. 3, a number of optional pieces of information may, in some example embodiments, be stored in the first and/or second submission tables at this point. At operation 516, a timestamp of the submission of the confidential data may be stored in a column in the second submission table. This timestamp may be used in, for example, a determination of whether the user is eligible to receive insights from confidential data submitted by other users. At operation 518, one or more attributes of the user may be stored as one or more columns in the second submission table. These attributes may be used, for example, in determining to which slice(s) the confidential data may apply, as will be described in more detail below. It should be noted that while operations 516 and 518 are described as placing information in the second submission table, in other example embodiments, one or more of these pieces of information may be stored in the first submission table.

If operation 508 is utilized, then the fact that the transaction identification is encrypted and is the only mechanism by which to link the confidential data in the first submission table with the user identification in the second submission table through a join operation provides an additional layer of security.

FIGS. 6A-6C are screen captures illustrating a user interface 600 for displaying insights to a first user from confidential data submitted by other users, in accordance with an example embodiment. Referring first to FIG. 6A, the user interface 600 displays a metric 602 comparing confidential data of the first user to confidential data of other users in a same slice as the first user. Here, for example, the first user is able to see that his base salary (as selectable via a drop-down menu 604) is higher than that of 70% of other users in the same slice (the slice being depicted as User Experience Designers in the San Francisco Bay Area). This metric is also displayed as a graphic 606 for easy comparison.

Referring now to FIG. 6B, the user interface 600 displays salary ranges for users in the same slice as the first user, including a median base salary 608, a range of submitted base salaries 610, median total compensation 612, and a range of submitted total compensations 614.

Referring now to FIG. 6C, the user interface 600 displays insights 616, 618, 620, and 622 for positions related to the position of the first user. Notably, these insights 616, 618, 620, and 622 may require using information from slices other than the one the first user belongs to. In an example embodiment, there is no limitation on the confidential data frontend 104 retrieving insights from the confidential data insights data store 122 that come from slices different from ones to which the user being presented with the insights belongs, although in some example embodiments, the confidential data frontend 104 may itself wish to limit the first user's ability to ask for and/or view certain types of information (e.g., the confidential data frontend 104 may permit the first user to view salary information for positions related to the first user's own position, but not unrelated positions).

As depicted above, all of the insights may be statistical information derived from confidential data submitted by users other than the user viewing the insights (as well as potentially including the user's own confidential data as well).

Furthermore, in some example embodiments it may be desirable to display insights that are based at least in part on information about member transition information. Specifically, insights may be gathered based on transitions between jobs. For example, a member considering a job change to a new position/location may benefit from being able to see statistical insights as to salary increases of other members who made similar moves. In this way, the member can compare different types of transitions to determine the best fit. Such insights may be difficult to determine from a technical perspective given the limited confidential data that may be submitted for certain transitions.

In an example embodiment, a weighted, directed graph is constructed based on member profile data. This graph may be constructed at various levels, such as just over job titles, over a combination of title and region, or over a combination of title, company, and region.

The graph may then be seeded with confidential information (e.g., compensation information). This may include data gathered from outside sources, such as statistical information from the Bureau of Labor Statistics, which provides compensation data for title and region combinations for over 800 occupations in the United States. This may also include salaries extracted from job postings listed in the social networking service or otherwise gathered from Internet sources. Additionally, the seed data can also include actual submitted confidential data from members, as described above. A graph algorithm, such a random walk algorithm, Markov chain with absorbing states, or label propagation may be used on the graph to make inferences.

FIG. 7 is a flow diagram illustrating a method 700 for graph-based inference of confidential data insights, in accordance with an example embodiment. At operation 702, position information is retrieved from a plurality of member profiles in a social networking service. This position information may include, for example, for each member, a position title and a position location (e.g., region). At operation 704, position transition information is retrieved from the plurality of member profiles. This position transition information may include, for example, for each member, an indication that the member transitioned from a first job to a second job (as well as any other job transitions the member has made).

At operation 706, a weighted graph is constructed from the position information and position transition information. Each node in the weighted graph may correspond to a particular title and region combination (it should be noted that, as described above, alternative embodiments are possible where each node just corresponds to a title, or to a title, region, company combination). Edges between nodes represent that a transition has occurred between the title/region pairs for the nodes at each end of the edge. These edges may be directed, indicating the direction of the transition. Each edge may also be weighted based on the number of members that have made the transition. In one example embodiment, the weights may be adjusted based on time, favoring more recent transitions over older ones. For example, the weight may be calculated based on the following formula:

$\sum\limits_{u \in U}{1_{u} \cdot e^{- {({t_{cur} - t_{transition}})}}}$ where u is a transition in the set of transitions U, t_(cur) is the current time, and t_(transition) is the time of the transition. FIG. 8 is an example directed weighted position transition graph 800, in accordance with an example embodiment. Here, nodes 802A-802D correspond to different position/region combinations. Edges 804A-804C indicate a weight assigned to the transition based, as described above, on the number of members who made the transition. Here, node 802A lacks a value for the confidential data (e.g., total compensation), whereas nodes 802B-802D each have values, such as averages, for the confidential data. The goal of the method 700 of FIG. 7 is to derive a value for node 802A. A secondary goal is to update the values for nodes 802B-802D, if appropriate, to better reflect an estimated average or aggregation for their respective confidential data values.

Referring back to FIG. 7, at operation 708, a loop is begun that repeats until convergence occurs (as will be described later). At operation 708, each node x in the weighted graph sends its current node value v_(t)(x) to all outbound neighbors. At operation 710, each node x then updates its value according to the formula:

$v_{t + 1} = {{\beta \cdot {v_{t}(y)}} + {\left( {1 - \beta} \right)\left( {1 + \alpha} \right)\frac{\sum{w_{x\; y} \cdot v_{x}^{t}}}{\sum w_{xy}}}}$

where B is a value indicating how much weight to associate with the existing value for the node, α is a value indicating how much confidential data values change during the transition (e.g., how much of a salary increase there typically is from a job transition), y is the current node, and x is a neighbor node being examined

It should be noted that in some example embodiments, α may be learned over time from a set of sample or training nodes (e.g., seed set). A set of different possible α values may be attempted according to the method 700, and the a value that causes the convergence value for a node to most closely resemble the actual value observed in the seed set for a transition may be selected.

At operation 712, new values for the nodes may be compared to previous values for the nodes. Specifically the following summation may be performed:

$\sum\limits_{y \in Y}{{{v_{t + 1}(y)} - {v_{t}(y)}}}$

At operation 714, this summation then may be compared with a convergence threshold E. If the convergence threshold is transgressed, then the method 700 loops back to operation 708. Otherwise, the method 700 ends.

FIG. 9 is the example directed weighted position graph 800 at a second state, in accordance with an example embodiment. Here, the weighted position graph 800 has been updated after one iteration of operation 708. As can be seen, a value for node 802A has been estimated based on the values of nodes 802B-802D and the weights of edges 804A-804C.

FIG. 10 is the example directed weighted position graph 800 at a third state, in accordance with an example embodiment. Here, the weighted position graph 800 has been updated after a second iteration of operation 708. As can be seen, a value for node 802A has not changed since FIG. 9, while node 802C has. It is determined at this point that convergence has occurred, and thus no more iterations are necessary.

Modules, Components, and Logic

Certain embodiments are described herein as including logic or a number of components, modules, or mechanisms. Modules may constitute either software modules (e.g., code embodied on a machine-readable medium) or hardware modules. A “hardware module” is a tangible unit capable of performing certain operations and may be configured or arranged in a certain physical manner. In various example embodiments, one or more computer systems (e.g., a standalone computer system, a client computer system, or a server computer system) or one or more hardware modules of a computer system (e.g., a processor or a group of processors) may be configured by software (e.g., an application or application portion) as a hardware module that operates to perform certain operations as described herein.

In some embodiments, a hardware module may be implemented mechanically, electronically, or any suitable combination thereof. For example, a hardware module may include dedicated circuitry or logic that is permanently configured to perform certain operations. For example, a hardware module may be a special-purpose processor, such as a Field-Programmable Gate Array (FPGA) or an Application Specific Integrated Circuit (ASIC). A hardware module may also include programmable logic or circuitry that is temporarily configured by software to perform certain operations. For example, a hardware module may include software executed by a general-purpose processor or other programmable processor. Once configured by such software, hardware modules become specific machines (or specific components of a machine) uniquely tailored to perform the configured functions and are no longer general-purpose processors. It will be appreciated that the decision to implement a hardware module mechanically, in dedicated and permanently configured circuitry, or in temporarily configured circuitry (e.g., configured by software) may be driven by cost and time considerations.

Accordingly, the phrase “hardware module” should be understood to encompass a tangible entity, be that an entity that is physically constructed, permanently configured (e.g., hardwired), or temporarily configured (e.g., programmed) to operate in a certain manner or to perform certain operations described herein. As used herein, “hardware-implemented module” refers to a hardware module. Considering embodiments in which hardware modules are temporarily configured (e.g., programmed), each of the hardware modules need not be configured or instantiated at any one instance in time. For example, where a hardware module comprises a general-purpose processor configured by software to become a special-purpose processor, the general-purpose processor may be configured as respectively different special-purpose processors (e.g., comprising different hardware modules) at different times. Software accordingly configures a particular processor or processors, for example, to constitute a particular hardware module at one instance of time and to constitute a different hardware module at a different instance of time.

Hardware modules can provide information to, and receive information from, other hardware modules. Accordingly, the described hardware modules may be regarded as being communicatively coupled. Where multiple hardware modules exist contemporaneously, communications may be achieved through signal transmission (e.g., over appropriate circuits and buses) between or among two or more of the hardware modules. In embodiments in which multiple hardware modules are configured or instantiated at different times, communications between such hardware modules may be achieved, for example, through the storage and retrieval of information in memory structures to which the multiple hardware modules have access. For example, one hardware module may perform an operation and store the output of that operation in a memory device to which it is communicatively coupled. A further hardware module may then, at a later time, access the memory device to retrieve and process the stored output. Hardware modules may also initiate communications with input or output devices, and can operate on a resource (e.g., a collection of information).

The various operations of example methods described herein may be performed, at least partially, by one or more processors that are temporarily configured (e.g., by software) or permanently configured to perform the relevant operations. Whether temporarily or permanently configured, such processors may constitute processor-implemented modules that operate to perform one or more operations or functions described herein. As used herein, “processor-implemented module” refers to a hardware module implemented using one or more processors.

Similarly, the methods described herein may be at least partially processor-implemented, with a particular processor or processors being an example of hardware. For example, at least some of the operations of a method may be performed by one or more processors or processor-implemented modules. Moreover, the one or more processors may also operate to support performance of the relevant operations in a “cloud computing” environment or as a “software as a service” (SaaS). For example, at least some of the operations may be performed by a group of computers (as examples of machines including processors), with these operations being accessible via a network (e.g., the Internet) and via one or more appropriate interfaces (e.g., an API).

The performance of certain of the operations may be distributed among the processors, not only residing within a single machine, but deployed across a number of machines. In some example embodiments, the processors or processor-implemented modules may be located in a single geographic location (e.g., within a home environment, an office environment, or a server farm). In other example embodiments, the processors or processor-implemented modules may be distributed across a number of geographic locations.

Machine and Software Architecture

The modules, methods, applications, and so forth described in conjunction with FIGS. 1-10 are implemented in some embodiments in the context of a machine and an associated software architecture. The sections below describe representative software architecture(s) and machine (e.g., hardware) architecture(s) that are suitable for use with the disclosed embodiments.

Software architectures are used in conjunction with hardware architectures to create devices and machines tailored to particular purposes. For example, a particular hardware architecture coupled with a particular software architecture will create a mobile device, such as a mobile phone, tablet device, or so forth. A slightly different hardware and software architecture may yield a smart device for use in the “internet of things,” while yet another combination produces a server computer for use within a cloud computing architecture. Not all combinations of such software and hardware architectures are presented here, as those of skill in the art can readily understand how to implement the inventive subject matter in different contexts from the disclosure contained herein.

Software Architecture

FIG. 11 is a block diagram 1100 illustrating a representative software architecture 1102, which may be used in conjunction with various hardware architectures herein described. FIG. 11 is merely a non-limiting example of a software architecture, and it will be appreciated that many other architectures may be implemented to facilitate the functionality described herein. The software architecture 1102 may be executing on hardware such as a machine 1200 of FIG. 12 that includes, among other things, processors 1210, memory/storage 1230, and I/O components 1250. A representative hardware layer 1104 is illustrated and can represent, for example, the machine 1200 of FIG. 12. The representative hardware layer 1104 comprises one or more processing units 1106 having associated executable instructions 1108. The executable instructions 1108 represent the executable instructions of the software architecture 1102, including implementation of the methods, modules, and so forth of FIGS. 1-10. The hardware layer 1104 also includes memory and/or storage modules 1110, which also have the executable instructions 1108. The hardware layer 1104 may also comprise other hardware 1112, which represents any other hardware of the hardware layer 1104, such as the other hardware illustrated as part of the machine 1200.

In the example architecture of FIG. 11, the software architecture 1102 may be conceptualized as a stack of layers where each layer provides particular functionality. For example, the software architecture 1102 may include layers such as an operating system 1114, libraries 1116, frameworks/middleware 1118, applications 1120, and a presentation layer 1144. Operationally, the applications 1120 and/or other components within the layers may invoke API calls 1124 through the software stack and receive responses, returned values, and so forth, illustrated as messages 1126, in response to the API calls 1124. The layers illustrated are representative in nature and not all software architectures have all layers. For example, some mobile or special-purpose operating systems may not provide a layer of frameworks/middleware 1118, while others may provide such a layer. Other software architectures may include additional or different layers.

The operating system 1114 may manage hardware resources and provide common services. The operating system 1114 may include, for example, a kernel 1128, services 1130, and drivers 1132. The kernel 1128 may act as an abstraction layer between the hardware and the other software layers. For example, the kernel 1128 may be responsible for memory management, processor management (e.g., scheduling), component management, networking, security settings, and so on. The services 1130 may provide other common services for the other software layers. The drivers 1132 may be responsible for controlling or interfacing with the underlying hardware. For instance, the drivers 1132 may include display drivers, camera drivers, Bluetooth® drivers, flash memory drivers, serial communication drivers (e.g., Universal Serial Bus (USB) drivers), Wi-Fi® drivers, audio drivers, power management drivers, and so forth depending on the hardware configuration.

The libraries 1116 may provide a common infrastructure that may be utilized by the applications 1120 and/or other components and/or layers. The libraries 1116 typically provide functionality that allows other software modules to perform tasks in an easier fashion than by interfacing directly with the underlying operating system 1114 functionality (e.g., kernel 1128, services 1130, and/or drivers 1132). The libraries 1116 may include system libraries 1134 (e.g., C standard library) that may provide functions such as memory allocation functions, string manipulation functions, mathematical functions, and the like. In addition, the libraries 1116 may include API libraries 1136 such as media libraries (e.g., libraries to support presentation and manipulation of various media formats such as MPEG4, H.264, MP3, AAC, AMR, JPG, PNG), graphics libraries (e.g., an OpenGL framework that may be used to render 2D and 3D graphic content on a display), database libraries (e.g., SQLite that may provide various relational database functions), web libraries (e.g., WebKit that may provide web browsing functionality), and the like. The libraries 1116 may also include a wide variety of other libraries 1138 to provide many other APIs to the applications 1120 and other software components/modules.

The frameworks 1118 (also sometimes referred to as middleware) may provide a higher-level common infrastructure that may be utilized by the applications 1120 and/or other software components/modules. For example, the frameworks 1118 may provide various graphic user interface (GUI) functions, high-level resource management, high-level location services, and so forth. The frameworks 1118 may provide a broad spectrum of other APIs that may be utilized by the applications 1120 and/or other software components/modules, some of which may be specific to a particular operating system or platform.

The applications 1120 include built-in applications 1140 and/or third-party applications 1142. Examples of representative built-in applications 1140 may include, but are not limited to, a contacts application, a browser application, a book reader application, a location application, a media application, a messaging application, and/or a game application. The third-party applications 1142 may include any of the built-in applications 1140 as well as a broad assortment of other applications. In a specific example, the third-party application 1142 (e.g., an application developed using the Android™ or iOS™ software development kit (SDK) by an entity other than the vendor of the particular platform) may be mobile software running on a mobile operating system such as iOS™, Android™, Windows® Phone, or other mobile operating systems. In this example, the third-party application 1142 may invoke the API calls 1124 provided by the mobile operating system such as the operating system 1114 to facilitate functionality described herein.

The applications 1120 may utilize built-in operating system 1114 functions (e.g., kernel 1128, services 1130, and/or drivers 1132), libraries 1116 (e.g., system libraries 1134, API libraries 1136, and other libraries 1138), and frameworks/middleware 1118 to create user interfaces to interact with users of the system. Alternatively, or additionally, in some systems, interactions with a user may occur through a presentation layer, such as the presentation layer 1144. In these systems, the application/module “logic” can be separated from the aspects of the application/module that interact with a user.

Some software architectures utilize virtual machines. In the example of FIG. 11, this is illustrated by a virtual machine 1148. A virtual machine creates a software environment where applications/modules can execute as if they were executing on a hardware machine (such as the machine 1200 of FIG. 12, for example). A virtual machine is hosted by a host operating system (e.g., operating system 1114 in FIG. 11) and typically, although not always, has a virtual machine monitor 1146, which manages the operation of the virtual machine 1148 as well as the interface with the host operating system (e.g., operating system 1114). A software architecture executes within the virtual machine 1148, such as an operating system 1150, libraries 1152, frameworks/middleware 1154, applications 1156, and/or a presentation layer 1158. These layers of software architecture executing within the virtual machine 1148 can be the same as corresponding layers previously described or may be different.

Example Machine Architecture and Machine-Readable Medium

FIG. 12 is a block diagram illustrating components of a machine 1200, according to some example embodiments, able to read instructions from a machine-readable medium (e.g., a machine-readable storage medium) and perform any one or more of the methodologies discussed herein. Specifically, FIG. 12 shows a diagrammatic representation of the machine 1200 in the example form of a computer system, within which instructions 1216 (e.g., software, a program, an application, an applet, an app, or other executable code) for causing the machine 1200 to perform any one or more of the methodologies discussed herein may be executed. The instructions 1216 transform the general, non-programmed machine 1200 into a particular machine 1200 programmed to carry out the described and illustrated functions in the manner described. In alternative embodiments, the machine 1200 operates as a standalone device or may be coupled (e.g., networked) to other machines. In a networked deployment, the machine 1200 may operate in the capacity of a server machine or a client machine in a server-client network environment, or as a peer machine in a peer-to-peer (or distributed) network environment. The machine 1200 may comprise, but not be limited to, a server computer, a client computer, a personal computer (PC), a tablet computer, a laptop computer, a netbook, a set-top box (STB), a personal digital assistant (PDA), an entertainment media system, a cellular telephone, a smart phone, a mobile device, a wearable device (e.g., a smart watch), a smart home device (e.g., a smart appliance), other smart devices, a web appliance, a network router, a network switch, a network bridge, or any machine capable of executing the instructions 1216, sequentially or otherwise, that specify actions to be taken by the machine 1200. Further, while only a single machine 1200 is illustrated, the term “machine” shall also be taken to include a collection of machines 1200 that individually or jointly execute the instructions 1216 to perform any one or more of the methodologies discussed herein.

The machine 1200 may include processors 1210, memory/storage 1230, and I/O components 1250, which may be configured to communicate with each other such as via a bus 1202. In an example embodiment, the processors 1210 (e.g., a Central Processing Unit (CPU), a Reduced Instruction Set Computing (RISC) processor, a Complex Instruction Set Computing (CISC) processor, a Graphics Processing Unit (GPU), a Digital Signal Processor (DSP), an ASIC, a Radio-Frequency Integrated Circuit (RFIC), another processor, or any suitable combination thereof) may include, for example, a processor 1212 and a processor 1214 that may execute the instructions 1216. The term “processor” is intended to include multi-core processors that may comprise two or more independent processors (sometimes referred to as “cores”) that may execute the instructions 1216 contemporaneously. Although FIG. 12 shows multiple processors 1210, the machine 1200 may include a single processor with a single core, a single processor with multiple cores (e.g., a multi-core processor), multiple processors with a single core, multiple processors with multiples cores, or any combination thereof.

The memory/storage 1230 may include a memory 1232, such as a main memory, or other memory storage, and a storage unit 1236, both accessible to the processors 1210 such as via the bus 1202. The storage unit 1236 and memory 1232 store the instructions 1216 embodying any one or more of the methodologies or functions described herein. The instructions 1216 may also reside, completely or partially, within the memory 1232, within the storage unit 1236, within at least one of the processors 1210 (e.g., within the processor's cache memory), or any suitable combination thereof, during execution thereof by the machine 1200. Accordingly, the memory 1232, the storage unit 1236, and the memory of the processors 1210 are examples of machine-readable media.

As used herein, “machine-readable medium” means a device able to store instructions and data temporarily or permanently and may include, but is not limited to, random-access memory (RAM), read-only memory (ROM), buffer memory, flash memory, optical media, magnetic media, cache memory, other types of storage (e.g., Erasable Programmable Read-Only Memory (EEPROM)), and/or any suitable combination thereof. The term “machine-readable medium” should be taken to include a single medium or multiple media (e.g., a centralized or distributed database, or associated caches and servers) able to store the instructions 1216. The term “machine-readable medium” shall also be taken to include any medium, or combination of multiple media, that is capable of storing instructions (e.g., instructions 1216) for execution by a machine (e.g., machine 1200), such that the instructions, when executed by one or more processors of the machine (e.g., processors 1210), cause the machine to perform any one or more of the methodologies described herein. Accordingly, a “machine-readable medium” refers to a single storage apparatus or device, as well as “cloud-based” storage systems or storage networks that include multiple storage apparatus or devices. The term “machine-readable medium” excludes signals per se.

The I/O components 1250 may include a wide variety of components to receive input, provide output, produce output, transmit information, exchange information, capture measurements, and so on. The specific I/O components 1250 that are included in a particular machine will depend on the type of machine. For example, portable machines such as mobile phones will likely include a touch input device or other such input mechanisms, while a headless server machine will likely not include such a touch input device. It will be appreciated that the I/O components 1250 may include many other components that are not shown in FIG. 12. The I/O components 1250 are grouped according to functionality merely for simplifying the following discussion and the grouping is in no way limiting. In various example embodiments, the 1/O components 1250 may include output components 1252 and input components 1254. The output components 1252 may include visual components (e.g., a display such as a plasma display panel (PDP), a light emitting diode (LED) display, a liquid crystal display (LCD), a projector, or a cathode ray tube (CRT)), acoustic components (e.g., speakers), haptic components (e.g., a vibratory motor, resistance mechanisms), other signal generators, and so forth. The input components 1254 may include alphanumeric input components (e.g., a keyboard, a touch screen configured to receive alphanumeric input, a photo-optical keyboard, or other alphanumeric input components), point based input components (e.g., a mouse, a touchpad, a trackball, a joystick, a motion sensor, or another pointing instrument), tactile input components (e.g., a physical button, a touch screen that provides location and/or force of touches or touch gestures, or other tactile input components), audio input components (e.g., a microphone), and the like.

In further example embodiments, the I/O components 1250 may include biometric components 1256, motion components 1258, environmental components 1260, or position components 1262, among a wide array of other components. For example, the biometric components 1256 may include components to detect expressions (e.g., hand expressions, facial expressions, vocal expressions, body gestures, or eye tracking), measure biosignals (e.g., blood pressure, heart rate, body temperature, perspiration, or brain waves), identify a person (e.g., voice identification, retinal identification, facial identification, fingerprint identification, or electroencephalogram based identification), and the like. The motion components 1258 may include acceleration sensor components (e.g., accelerometer), gravitation sensor components, rotation sensor components (e.g., gyroscope), and so forth. The environmental components 1260 may include, for example, illumination sensor components (e.g., photometer), temperature sensor components (e.g., one or more thermometers that detect ambient temperature), humidity sensor components, pressure sensor components (e.g., barometer), acoustic sensor components (e.g., one or more microphones that detect background noise), proximity sensor components (e.g., infrared sensors that detect nearby objects), gas sensors (e.g., gas detection sensors to detect concentrations of hazardous gases for safety or to measure pollutants in the atmosphere), or other components that may provide indications, measurements, or signals corresponding to a surrounding physical environment. The position components 1262 may include location sensor components (e.g., a Global Position System (GPS) receiver component), altitude sensor components (e.g., altimeters or barometers that detect air pressure from which altitude may be derived), orientation sensor components (e.g., magnetometers), and the like.

Communication may be implemented using a wide variety of technologies. The I/O components 1250 may include communication components 1264 operable to couple the machine 1200 to a network 1280 or devices 1270 via a coupling 1282 and a coupling 1272, respectively. For example, the communication components 1264 may include a network interface component or other suitable device to interface with the network 1280. In further examples, the communication components 1264 may include wired communication components, wireless communication components, cellular communication components, Near Field Communication (NFC) components, Bluetooth® components (e.g., Bluetooth® Low Energy), Wi-Fi® components, and other communication components to provide communication via other modalities. The devices 1270 may be another machine or any of a wide variety of peripheral devices (e.g., a peripheral device coupled via a USB).

Moreover, the communication components 1264 may detect identifiers or include components operable to detect identifiers. For example, the communication components 1264 may include Radio Frequency Identification (RFID) tag reader components, NFC smart tag detection components, optical reader components (e.g., an optical sensor to detect one-dimensional bar codes such as Universal Product Code (UPC) bar code, multi-dimensional bar codes such as Quick Response (QR) code, Aztec code, Data Matrix, Dataglyph, MaxiCode, PDF417, Ultra Code, UCC RSS-2D bar code, and other optical codes), or acoustic detection components (e.g., microphones to identify tagged audio signals). In addition, a variety of information may be derived via the communication components 1264, such as location via Internet Protocol (IP) geolocation, location via Wi-Fi® signal triangulation, location via detecting an NFC beacon signal that may indicate a particular location, and so forth.

Transmission Medium

In various example embodiments, one or more portions of the network 1280 may be an ad hoc network, an intranet, an extranet, a virtual private network (VPN), a local area network (LAN), a wireless LAN (WLAN), a wide area network (WAN), a wireless WAN (WWAN), a metropolitan area network (MAN), the Internet, a portion of the Internet, a portion of the Public Switched Telephone Network (PSTN), a plain old telephone service (POTS) network, a cellular telephone network, a wireless network, a Wi-Fi® network, another type of network, or a combination of two or more such networks. For example, the network 1280 or a portion of the network 1280 may include a wireless or cellular network and the coupling 1282 may be a Code Division Multiple Access (CDMA) connection, a Global System for Mobile communications (GSM) connection, or another type of cellular or wireless coupling. In this example, the coupling 1282 may implement any of a variety of types of data transfer technology, such as Single Carrier Radio Transmission Technology (1×RTT), Evolution-Data Optimized (EVDO) technology, General Packet Radio Service (GPRS) technology, Enhanced Data rates for GSM Evolution (EDGE) technology, third Generation Partnership Project (3GPP) including 3G, fourth generation wireless (4G) networks, Universal Mobile Telecommunications System (UMTS), High Speed Packet Access (HSPA), Worldwide Interoperability for Microwave Access (WiMAX), Long Term Evolution (LTE) standard, others defined by various standard-setting organizations, other long range protocols, or other data transfer technology.

The instructions 1216 may be transmitted or received over the network 1280 using a transmission medium via a network interface device (e.g., a network interface component included in the communication components 1264) and utilizing any one of a number of well-known transfer protocols (e.g., Hypertext Transfer Protocol (HTTP)). Similarly, the instructions 1216 may be transmitted or received using a transmission medium via the coupling 1272 (e.g., a peer-to-peer coupling) to the devices 1270. The term “transmission medium” shall be taken to include any intangible medium that is capable of storing, encoding, or carrying the instructions 1216 for execution by the machine 1200, and includes digital or analog communications signals or other intangible media to facilitate communication of such software.

Language

Throughout this specification, plural instances may implement components, operations, or structures described as a single instance. Although individual operations of one or more methods are illustrated and described as separate operations, one or more of the individual operations may be performed concurrently, and nothing requires that the operations be performed in the order illustrated. Structures and functionality presented as separate components in example configurations may be implemented as a combined structure or component. Similarly, structures and functionality presented as a single component may be implemented as separate components. These and other variations, modifications, additions, and improvements fall within the scope of the subject matter herein.

Although an overview of the inventive subject matter has been described with reference to specific example embodiments, various modifications and changes may be made to these embodiments without departing from the broader scope of embodiments of the present disclosure. Such embodiments of the inventive subject matter may be referred to herein, individually or collectively, by the term “invention” merely for convenience and without intending to voluntarily limit the scope of this application to any single disclosure or inventive concept if more than one is, in fact, disclosed.

The embodiments illustrated herein are described in sufficient detail to enable those skilled in the art to practice the teachings disclosed. Other embodiments may be used and derived therefrom, such that structural and logical substitutions and changes may be made without departing from the scope of this disclosure. The Detailed Description, therefore, is not to be taken in a limiting sense, and the scope of various embodiments is defined only by the appended claims, along with the full range of equivalents to which such claims are entitled.

As used herein, the term “or” may be construed in either an inclusive or exclusive sense. Moreover, plural instances may be provided for resources, operations, or structures described herein as a single instance. Additionally, boundaries between various resources, operations, modules, engines, and data stores are somewhat arbitrary, and particular operations are illustrated in a context of specific illustrative configurations. Other allocations of functionality are envisioned and may fall within a scope of various embodiments of the present disclosure. In general, structures and functionality presented as separate resources in the example configurations may be implemented as a combined structure or resource. Similarly, structures and functionality presented as a single resource may be implemented as separate resources. These and other variations, modifications, additions, and improvements fall within a scope of embodiments of the present disclosure as represented by the appended claims. The specification and drawings are, accordingly, to be regarded in an illustrative rather than a restrictive sense. 

What is claimed is:
 1. A system comprising: one or more hardware processors; a computer-readable medium having instructions stored thereon, which, when executed by the one or more hardware processors, cause the system to: retrieve, using the one or more hardware processors, position information from a plurality of member profiles in a social networking service, the position information including information about positions at which members corresponding to the plurality of member profiles are employed; retrieve, using the one or more hardware processors, position transition information from the plurality of member profiles; construct, using the one or more hardware processors, a weighted directed graph data structure from the position information and the position transition information, the weighted directed graph data structure comprising a plurality of nodes, each node corresponding to a position in the position information, and a plurality of directed edges between the plurality of nodes, each directed edge corresponding to a transition occurring from a position corresponding to a node at a beginning of the directed edge to a position corresponding to a node at an end of the directed edge; assign, using the one or more hardware processors, a value to each node based on one or more confidential data values associated with a position corresponding to the node, the one or more confidential data values having been entered on screens of graphical user interfaces and encrypted on an external data source; assign, using the one or more hardware processors, a weight to each directed edge based on a number of members of the social networking service that transitioned from the position corresponding to the node at a beginning of the directed edge to a position corresponding to the node at an end of the directed edge, wherein the weights assigned to the directed edges are also based on a time indicating how lone it has been since each transition has occurred in the position transition information; calculate, using the one or more hardware processors, an updated value for each node in the weighted directed graph data structure based on values assigned to one or more neighbor nodes in the weighted directed graph data structure; and repeat, using the one or more hardware processors, the calculating until a convergence occurs between the updated values for the nodes in the weighted directed graph data structure and prior values for the nodes in the weighted directed graph data structure, wherein convergence occurs when a difference between the undated values and the prior values fall below a predetermined threshold.
 2. The system of claim 1, wherein the position information includes position title and location.
 3. The system of claim 1, wherein the assigning a value to each node is performed using the following formula: $v_{t + 1} = {{\beta \cdot {v_{t}(y)}} + {\left( {1 - \beta} \right)\left( {1 + \alpha} \right)\frac{\sum{w_{x\; y} \cdot v_{x}^{t}}}{\sum w_{xy}}}}$ where B is a value indicating how much weight to associate with the existing value for the node, α is a value indicating how much confidential data values change during the transition, y is the current node, and x is a neighbor node being examined.
 4. The system of claim 3, wherein α is learned based on a value that causes a convergence value observed in a seed set of data to most closely resemble an actual value for transitions in the seed set of data.
 5. The system of claim 1, wherein the repeating includes computing the following summation: $\sum\limits_{y \in Y}{{{v_{t + 1}(y)} - {v_{t}(y)}}}$ and comparing the summation to a convergence threshold to determine if another repetition should be made.
 6. The system of claim 1, wherein the confidential data values are compensation data values.
 7. A computerized method comprising: retrieving, using one or more hardware processors, position information from a plurality of member profiles in a social networking service, the position information including information about positions at which members corresponding to the plurality of member profiles are employed; retrieving, using the one or more hardware processors, position transition information from the plurality of member profiles; constructing, using the one or more hardware processors, a weighted directed graph data structure from the position information and the position transition information, the weighted directed graph data structure comprising a plurality of nodes, each node corresponding to a position in the position information, and a plurality of directed edges between the plurality of nodes, each directed edge corresponding to a transition occurring from a position corresponding to a node at a beginning of the directed edge to a position corresponding to a node at an end of the directed edge; assigning, using the one or more hardware processors, a value to each node based on one or more confidential data values associated with a position corresponding to the node, the one or more confidential data values having been entered on screens of graphical user interfaces and encrypted on an external data source; assigning, using the one or more hardware processors, a weight to each directed edge based on a number of members of the social networking service that transitioned from the position corresponding to the node at a beginning of the directed edge to a position corresponding to the node at an end of the directed edge, wherein the weights assigned to the directed edges are also based on a time indicating how long it has been since each transition has occurred in the position transition information; calculating, using the one or more hardware processors, an updated value for each node in the weighted directed graph data structure based on values assigned to one or more neighbor nodes in the weighted directed graph data structure; and repeating, using the one or more hardware processors, the calculating until a convergence occurs between the updated values for the nodes in the weighted directed graph data structure and prior values for the nodes in the weighted directed graph data structure, wherein convergence occurs when a difference between the updated values and the prior values fall below a predetermined threshold.
 8. The computerized method of claim 7, wherein the position information includes position title and location.
 9. The computerized method of claim 7, wherein the assigning a value to each node is performed using the following formula: $v_{t + 1} = {{\beta \cdot {v_{t}(y)}} + {\left( {1 - \beta} \right)\left( {1 + \alpha} \right)\frac{\sum{w_{x\; y} \cdot v_{x}^{t}}}{\sum w_{xy}}}}$ where B is a value indicating how much weight to associate with the existing value for the node, α is a value indicating how much confidential data values change during the transition, y is the current node, and x is a neighbor node being examined.
 10. The computerized method of claim 9, wherein α is learned based on a value that causes a convergence value observed in a seed set of data to most closely resemble an actual value for transitions in the seed set of data.
 11. The computerized method of claim 7, wherein the repeating includes computing the following summation: $\sum\limits_{y \in Y}{{{v_{t + 1}(y)} - {v_{t}(y)}}}$ and comparing the summation to a convergence threshold to determine if another repetition should be made.
 12. The computerized method of claim 7, wherein the confidential data values are compensation data values.
 13. A non-transitory machine-readable storage medium comprising instructions, which when implemented by one or more machines, cause the one or more machines to perform operations comprising: retrieving, using one or more hardware processors, position information from a plurality of member profiles in a social networking service, the position information including information about positions at which members corresponding to the plurality of member profiles are employed; retrieving, using the one or more hardware processors, position transition information from the plurality of member profiles; constructing, using the one or more hardware processors, a weighted directed graph data structure from the position information and the position transition information, the weighted directed graph data structure comprising a plurality of nodes, each node corresponding to a position in the position information, and a plurality of directed edges between the plurality of nodes, each directed edge corresponding to a transition occurring from a position corresponding to a node at a beginning of the directed edge to a position corresponding to a node at an end of the directed edge; assigning, using the one or more hardware processors, a value to each node based on one or more confidential data values associated with a position corresponding to the node, the one or more confidential data values having been entered on screens of graphical user interfaces and encrypted on an external data source; assigning, using the one or more hardware processors, a weight to each directed edge based on a number of members of the social networking service that transitioned from the position corresponding to the node at a beginning of the directed edge to a position corresponding to the node at an end of the directed edge, wherein the weights assigned to the directed edges are also based on a time indicating how lone it has been since each transition has occurred in the position transition information; calculating, using the one or more hardware processors, an updated value for each node in the weighted directed graph data structure based on values assigned to one or more neighbor nodes in the weighted directed graph data structure; and repeating, using the one or more hardware processors, the calculating until a convergence occurs between the updated values for the nodes in the weighted directed graph data structure and prior values for the nodes in the weighted directed graph data structure wherein convergence occurs when a difference between the undated values and the prior values fall below a predetermined threshold.
 14. The non-transitory machine-readable storage medium of claim 13, wherein the position information includes position title and location.
 15. The non-transitory machine-readable storage medium of claim 13, wherein the assigning a value to each node is performed using the following formula: $v_{t + 1} = {{\beta \cdot {v_{t}(y)}} + {\left( {1 - \beta} \right)\left( {1 + \alpha} \right)\frac{\sum{w_{x\; y} \cdot v_{x}^{t}}}{\sum w_{xy}}}}$ where B is a value indicating how much weight to associate with the existing value for the node, α is a value indicating how much confidential data values change during the transition, y is the current node, and x is a neighbor node being examined.
 16. The non-transitory machine-readable storage medium of claim 15, wherein α is learned based on a value that causes a convergence value observed in a seed set of data to most closely resemble an actual value for transitions in the seed set of data.
 17. The non-transitory machine-readable storage medium of claim 13, wherein the repeating includes computing the following summation: $\sum\limits_{y \in Y}{{{v_{t + 1}(y)} - {v_{t}(y)}}}$ and comparing the summation to a convergence threshold to determine if another repetition should be made. 